Bing Wang（王兵）

Bing Wang（王兵）

Publications

  1. Heat kernel on Ricci shrinkers (II), (in collabration with Y. Li), Acta Mathematica Scientia, vol.44(2024), no.B5, 1639-1695.

  2. Rigidity of the round cylinders in Ricci shrinkers, (in collabration with Y. Li), Journal of Differential Geometry, vol.127(2024), no.2, 817-897.

  3. Ricci curvature integrals, local functionals, and the Ricci flow, (in collabration with Y.Q. Ma), Transactions of the American Mathematical Society Series, vol.10(2023), 944-987.

  4. Canonical diffeomorphisms of manifolds near spheres, (in collabration with X.R. Zhao), The Journal of Geometric Analysis, vol.33(2023), no.304, 1-31.

  5. Ricci flow smoothing for locally collapsing manifolds , (in collabration with S.S. Huang), Calculus of Variations and Partial Differential Equations, vol.61(2022), no.2, article 64.

  6. On Ilmanen’s multiplicity one conjecture for mean curvature flow with type-I mean curvature, (in collabration with H.Z. Li), Journal of European Mathematical Society, vol.24(2022), no.1, 37-135.

  7. On the structure of Ricci shrinkers, (in collabration with H.Z. Li and Y. Li), Journal of functional analysis, vol.280(2021), no.2021, 108955.

  8. ​​On the regular-convexity of Ricci shrinker limit spaces, (in collaboration with S.S. Huang, Y Li), Journal für die reine und angewandte Mathematik, vol.771(2021), no.2021, 99-136.

  9. Collapsing geometry with Ricci curvature bounded below and Ricci flow smoothing, (in collabration with S.S. Huang and X.C. Rong), Symmetry, Integrability and Geometry: Methods and Applications(SIGMA), vol.16(2020), no.123, 25.

  10. ​​Heat Kernel on Ricci Shrinkers, (in collabration with Y. Li), Calculus of Variations and Partial Differential Equations, vol.59(2020), no.6, 1-84.

  11. Space of Ricci flows(II)—part B: weak compactness of the flows, (in collabration with X.X.Chen), Journal of Differential Geometry, vol.116(2020), no.1, 1-123.

  12. Remarks of weak-compactness along Kähler Ricci flow, (in collabration with X.X.Chen), Proceedings of the 7th International Congress of Chinese Mathematicians, vol.1(2019), 203-234.

  13. The extension problem of the mean curvature flow(I), (in collaboration with H.Z. Li), Inventiones Mathematicae, vol.218 (2019), no.3, 721-777.

  14. Rigidity of Vector Valued Harmonic maps of linear growth, (in collaboration with S.S. Huang), Geometriae Dedicata, vol.202(2019), no.1, 357-371.

  15. The Rigidity of Ricci shrinkers of dimension four, (in collabration with Y. Li), Transactions of American Mathematical Society, vol.371(2019), 6949-6972.

  16. The local entropy along Ricci flow—part A: the no-local-collapsing theorems, Cambridge Journal of Mathematics, vol.6(2018), no.3, 267-346.

  17. Kähler-Ricci flow, Kähler-Einstein metric and K-stability, (in collaboration with S. Sun, X.X.Chen), Geometry and Topology, vol.22(2018), no.6, 3145-3173.

  18. Regularity scales and convergence of the Calabi flow, (Correction of acknowledgement, adding a research fund used for this study), (in collabration with H.Z. Li, K. Zheng), The Journal of Geometric Analysis, vol.28(2018), no.3, 2050-2101.

  19. Space of Ricci flows(II)—part A: moduli of singular Calabi-Yau space,(in collaboration with X.X.Chen), Forum of Mathematics, Sigma, vol.5(2017), e32.

  20. On the structure of almost Einstein manifolds,(in collaboration with G.Tian), Journal of American Mathematical Society, vol.28(2015), no.4, 1169-1209.

  21. On the conditions to extend Ricci flow(III),(in collaboration with X.X.Chen), International Mathematics Research Notices, vol.2013(2013), no.10, 2349-2367.

  22. On the conditions to extend Ricci flow(II), International Mathematics Research Notices, vol.2012(2012), no.14, 3192-3223.

  23. Space of Ricci flows(I),(in collaboration with X.X.Chen), Communications in Pure and Applied Math, vol.65(2012), no.10, 1399-1457.

  24. The Kähler Ricci flow on Fano manfiolds (I),(in collaboration with X.X.Chen), Journal of European Mathematical Society, vol.14(2012), no.6, 2001-2038.

  25. The Kähler Ricci flow on Fano surfaces (I),(in collaboration with X.X.Chen), Mathematische Zeitschrift, vol.270(2012), no.1-2, 577-587.

  26. Remarks on Kähler Ricci flow,(in collaboration with X.X.Chen), The Journal of Geometric Analysis, vol.20(2010), no.2, 335-353.

  27. Kähler–Ricci flow With small initial energy,(in collaboration with X.X.Chen, H.Z. Li), Geometric and Functional Analysis, vol.18(2009), 1525-1563.

  28. On the conditions to extend Ricci flow, International Mathematics Research Notices, vol.2008(2008), no.rnn012.

  1. On Kähler Ricci shrinker surfaces, (in collaboration with Y. Li), arXiv:2301.09784.

  2. The local entropy along Ricci flow—Part B: the pseudo-locality theorems, arXiv:2010.09981, submitted.

  3. Rigidity of the first Betti number via Ricci flow smoothing, (in collaboration with S.S.Huang), arXiv:2004.09762, submitted.

  4. Space of Ricci flows(II), (in collaboration with X.X.Chen), arXiv: 1405.6797, with furtherdetails, and published in part A and part B.

  5. Ricci flow on orbifold, arXiv:1003.0151.